If R is the set of all real numbers, what do the cartesian products `R xx R and R xx R xx R` represent?

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

If R is the set of all real numbers and if f: R -[2] to R is defined by f(x)=(2+x)/(2-x) for x in R-{2} , then the range of is:

Let R be the relation on the set R of all real numbers defined by a R bif Ia-bI le 1Then R is

N is the set of natural numbers and R is a relation on N xx N defined by (a, b)R(c, d) if an only if a+d=b+c then R is

Let R denote the set of all real numbers and R+ denote the set of all positive real numbers. For the subsets A and B of R define f: A to B by f(x) =x^(2) for x in A . Observe the two lists given below: The correct matching of List-I to List-II is:

Show that the relation R in the set R of real numbers, defined as R = {(a,b) : a le b ^(2)} is neither reflexive nor symmetric nor transitive.

S is a relation over the set R^(+) of all real numbers and it is given by (a,b)in S iff ab gt 0 Then S is